Changes between Version 1 and Version 2 of EwEugModellingEffortDynamics
- Timestamp:
- 2010-01-31 12:06:50 (13 years ago)
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EwEugModellingEffortDynamics
v1 v2 23 23 At each time step, a mean income per effort index ''I,,g,t,,'' is calculated as 24 24 25 [[Image(wiki:EwEugI images:0800003A.png)]]25 [[Image(wiki:EwEugImages:0800003A.png)]] 26 26 27 27 where ''i'' = ecological species or biomass group, ''q'g,i'' is the catchability coefficient (possibly dependent on Bi) for species'' i'' by gear ''g'', and ''P,,g,i,,'' is the market price obtained per biomass of'' i'' by gear g fishers. Also, mean fleet profit rates ''PR,,g,t,,'',,,,for fishing are calculated thus: 28 28 29 [[Image(wiki:EwEugI images:0800003B.png)]]29 [[Image(wiki:EwEugImages:0800003B.png)]] 30 30 31 31 where ''c'',,''g'',, is the cost of a unit of fishing effort for gear g (cost and price factors are entered via the [[Definition of fleets.htm|Definition of fleets]] and [[Market price.htm|Market price]] forms). For each time step, the “fast” effort response for the next (monthly) time step is predicted by a sigmoid function of income per effort and current fleet capacity: 32 32 33 [[Image(wiki:EwEugI images:0800003C.png)]]33 [[Image(wiki:EwEugImages:0800003C.png)]] 34 34 35 35 Here, ''I,,hg,,'' and ''p'' are fleet-specific response parameters. ''I,,hg,,'' is the income level needed for half maximum effort to be deployed and ''p'' is a “heterogeneity” parameter for fishers: high ''p'' values imply all fishers “see” income opportunity similarly, while low p values imply fishers “turn on” their effort over a wide range of mean incomes, as shown in Figure 3.12. 36 36 37 [[Image(wiki:EwEugI images:0300003D.png)]]37 [[Image(wiki:EwEugImages:0300003D.png)]] 38 38 39 39 '''Figure 3.12''' Effect of the ‘heterogeneity’ parameter, ''p'', on effort/income function. … … 42 42 For each fleet, slow effort responses are modelled as changes in fleet capacity (''K'',,''g,t'',,), which is a function of the capital depreciation rate ''ρ,,g,,'', the capital growth rate ''r'',,''g,t'',,'and profit ''PR'',,''g,t'',,. The capital growth rate is calculated via a growth factor ''gf'',,''g'',,,t, i.e., 43 43 44 [[Image(wiki:EwEugI images:0800003E.png)]]44 [[Image(wiki:EwEugImages:0800003E.png)]] 45 45 46 46 where ''K'',,''g,1'',,'', ρg'' and ''r'',,''g,1'',, are set by the user. The annual capacity ''K'',,''g,t'',, is then updated as 47 47 48 [[Image(wiki:EwEugI images:0800003F.png)]].48 [[Image(wiki:EwEugImages:0800003F.png)]].